Question

If each side of a rectangle is increased by 50%, then its area will be increased by

• A. 150%
• B. 120%
• C. 125%
• D. None of these

Answer 1

The correct option is C 125%

Let length and breadth of rectangle be $l$ and $h$ then

Area of rectangle $\left(A\right)=l\times b$

When length and breadth are increased by $50\%$ then

Length $=l+\frac{l}{2}=\frac{3l}{2}$

Breadth $=\frac{3b}{2}$

Area of rectangle

$\Rightarrow \frac{3l}{2}\times \frac{3b}{2}$

$\Rightarrow \frac{9}{4}A$

Percentage increment in Area

$=\frac{2.25A-A}{A}\times 100$

$=125\%$

This is the required answer.